00:01
In this problem, we have been given a piecewise linear function, and we need to find the value of the function at certain values of x.
00:10
Now, in the first subpart, we have been asked to determine the value of f of minus 3.
00:16
Now, note that minus 3 is less than minus 2.
00:21
So that means that we will consider the first definition of the piecewise linear function, that is 3x.
00:27
So f of minus 3 will be obtained by replacing x by minus 3 in the expression 3x.
00:34
So we have 3 times minus 3, which is equal to minus 9.
00:39
So f of minus 3 is equal to minus 9.
00:42
And the second subpart, we need to determine f of minus 2.
00:46
Now minus 2 is equal to minus 2.
00:49
So that means minus 2 is less than or equal to minus 2.
00:52
Which means once again we need to consider the first definition, which is 3x.
00:57
F of minus 2 will be 3 times minus 2, which is equal to minus 6...